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Finding the Third Proportional to 34,359,059.25 and 74,098,138.50

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Solution

The third proportional to 34,359,059.25 and 74,098,138.50 is: 159,798,732.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,359,059.25 : 74,098,138.50 = 74,098,138.50 : x
  2. Step 2: Convert to fraction form
    34,359,059.25/74,098,138.50 = 74,098,138.50/x
  3. Step 3: Cross multiply
    34,359,059.25x = 74,098,138.50 × 74,098,138.50
  4. Step 4: Simplify right side
    34,359,059.25x = 5,490,534,129,165,182
  5. Step 5: Solve for x
    x = 5,490,534,129,165,182/34,359,059.25
  6. Step 6: Final answer
    x = 159,798,732.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.