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Finding the Third Proportional to 49,076,779 and 106,332,545

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Solution

The third proportional to 49,076,779 and 106,332,545 is: 230,386,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,076,779 : 106,332,545 = 106,332,545 : x
  2. Step 2: Convert to fraction form
    49,076,779/106,332,545 = 106,332,545/x
  3. Step 3: Cross multiply
    49,076,779x = 106,332,545 × 106,332,545
  4. Step 4: Simplify right side
    49,076,779x = 11,306,610,126,177,024
  5. Step 5: Solve for x
    x = 11,306,610,126,177,024/49,076,779
  6. Step 6: Final answer
    x = 230,386,149.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.