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Finding the Third Proportional to 71,109,634,714.88 and 102,741,142,311.84

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Solution

The third proportional to 71,109,634,714.88 and 102,741,142,311.84 is: 148,443,208,376.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,109,634,714.88 : 102,741,142,311.84 = 102,741,142,311.84 : x
  2. Step 2: Convert to fraction form
    71,109,634,714.88/102,741,142,311.84 = 102,741,142,311.84/x
  3. Step 3: Cross multiply
    71,109,634,714.88x = 102,741,142,311.84 × 102,741,142,311.84
  4. Step 4: Simplify right side
    71,109,634,714.88x = 10,555,742,323,541,758,967,808
  5. Step 5: Solve for x
    x = 10,555,742,323,541,758,967,808/71,109,634,714.88
  6. Step 6: Final answer
    x = 148,443,208,376.29

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.