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Finding the Third Proportional to 76,565,505 and 117,686,719.50

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Solution

The third proportional to 76,565,505 and 117,686,719.50 is: 180,893,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,565,505 : 117,686,719.50 = 117,686,719.50 : x
  2. Step 2: Convert to fraction form
    76,565,505/117,686,719.50 = 117,686,719.50/x
  3. Step 3: Cross multiply
    76,565,505x = 117,686,719.50 × 117,686,719.50
  4. Step 4: Simplify right side
    76,565,505x = 13,850,163,946,671,680
  5. Step 5: Solve for x
    x = 13,850,163,946,671,680/76,565,505
  6. Step 6: Final answer
    x = 180,893,000.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.