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Finding the Third Proportional to 49,350,688 and 106,938,128

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Solution

The third proportional to 49,350,688 and 106,938,128 is: 231,724,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,350,688 : 106,938,128 = 106,938,128 : x
  2. Step 2: Convert to fraction form
    49,350,688/106,938,128 = 106,938,128/x
  3. Step 3: Cross multiply
    49,350,688x = 106,938,128 × 106,938,128
  4. Step 4: Simplify right side
    49,350,688x = 11,435,763,220,144,384
  5. Step 5: Solve for x
    x = 11,435,763,220,144,384/49,350,688
  6. Step 6: Final answer
    x = 231,724,494.30

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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.