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Finding the Third Proportional to 137,030,707 and 201,761,092.50

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Solution

The third proportional to 137,030,707 and 201,761,092.50 is: 297,068,732.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,030,707 : 201,761,092.50 = 201,761,092.50 : x
  2. Step 2: Convert to fraction form
    137,030,707/201,761,092.50 = 201,761,092.50/x
  3. Step 3: Cross multiply
    137,030,707x = 201,761,092.50 × 201,761,092.50
  4. Step 4: Simplify right side
    137,030,707x = 40,707,538,446,793,560
  5. Step 5: Solve for x
    x = 40,707,538,446,793,560/137,030,707
  6. Step 6: Final answer
    x = 297,068,732.53

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.