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Finding the Third Proportional to 77,097,342 and 105,721,313

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Solution

The third proportional to 77,097,342 and 105,721,313 is: 144,972,520.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,097,342 : 105,721,313 = 105,721,313 : x
  2. Step 2: Convert to fraction form
    77,097,342/105,721,313 = 105,721,313/x
  3. Step 3: Cross multiply
    77,097,342x = 105,721,313 × 105,721,313
  4. Step 4: Simplify right side
    77,097,342x = 11,176,996,022,443,968
  5. Step 5: Solve for x
    x = 11,176,996,022,443,968/77,097,342
  6. Step 6: Final answer
    x = 144,972,520.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.