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Finding the Third Proportional to 102,762,540 and 148,474,120

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Solution

The third proportional to 102,762,540 and 148,474,120 is: 214,519,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,762,540 : 148,474,120 = 148,474,120 : x
  2. Step 2: Convert to fraction form
    102,762,540/148,474,120 = 148,474,120/x
  3. Step 3: Cross multiply
    102,762,540x = 148,474,120 × 148,474,120
  4. Step 4: Simplify right side
    102,762,540x = 22,044,564,309,774,400
  5. Step 5: Solve for x
    x = 22,044,564,309,774,400/102,762,540
  6. Step 6: Final answer
    x = 214,519,457.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.