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Finding the Third Proportional to 102,246,503.63 and 161,929,699.88

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Solution

The third proportional to 102,246,503.63 and 161,929,699.88 is: 256,451,093.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246,503.63 : 161,929,699.88 = 161,929,699.88 : x
  2. Step 2: Convert to fraction form
    102,246,503.63/161,929,699.88 = 161,929,699.88/x
  3. Step 3: Cross multiply
    102,246,503.63x = 161,929,699.88 × 161,929,699.88
  4. Step 4: Simplify right side
    102,246,503.63x = 26,221,227,701,607,576
  5. Step 5: Solve for x
    x = 26,221,227,701,607,576/102,246,503.63
  6. Step 6: Final answer
    x = 256,451,093.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.