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Finding the Third Proportional to 60,569,866.47 and 132,102,241.34

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Solution

The third proportional to 60,569,866.47 and 132,102,241.34 is: 288,113,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,569,866.47 : 132,102,241.34 = 132,102,241.34 : x
  2. Step 2: Convert to fraction form
    60,569,866.47/132,102,241.34 = 132,102,241.34/x
  3. Step 3: Cross multiply
    60,569,866.47x = 132,102,241.34 × 132,102,241.34
  4. Step 4: Simplify right side
    60,569,866.47x = 17,451,002,168,042,372
  5. Step 5: Solve for x
    x = 17,451,002,168,042,372/60,569,866.47
  6. Step 6: Final answer
    x = 288,113,598.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.