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Finding the Third Proportional to 90,257,442 and 137,501,883

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Solution

The third proportional to 90,257,442 and 137,501,883 is: 209,475,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,257,442 : 137,501,883 = 137,501,883 : x
  2. Step 2: Convert to fraction form
    90,257,442/137,501,883 = 137,501,883/x
  3. Step 3: Cross multiply
    90,257,442x = 137,501,883 × 137,501,883
  4. Step 4: Simplify right side
    90,257,442x = 18,906,767,828,545,688
  5. Step 5: Solve for x
    x = 18,906,767,828,545,688/90,257,442
  6. Step 6: Final answer
    x = 209,475,998.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.