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Finding the Third Proportional to 68,452,299 and 161,428,097

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Solution

The third proportional to 68,452,299 and 161,428,097 is: 380,688,901.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452,299 : 161,428,097 = 161,428,097 : x
  2. Step 2: Convert to fraction form
    68,452,299/161,428,097 = 161,428,097/x
  3. Step 3: Cross multiply
    68,452,299x = 161,428,097 × 161,428,097
  4. Step 4: Simplify right side
    68,452,299x = 26,059,030,501,041,408
  5. Step 5: Solve for x
    x = 26,059,030,501,041,408/68,452,299
  6. Step 6: Final answer
    x = 380,688,901.35

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.