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Finding the Third Proportional to 89,258,937 and 137,927,691

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Solution

The third proportional to 89,258,937 and 137,927,691 is: 213,133,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,258,937 : 137,927,691 = 137,927,691 : x
  2. Step 2: Convert to fraction form
    89,258,937/137,927,691 = 137,927,691/x
  3. Step 3: Cross multiply
    89,258,937x = 137,927,691 × 137,927,691
  4. Step 4: Simplify right side
    89,258,937x = 19,024,047,944,591,480
  5. Step 5: Solve for x
    x = 19,024,047,944,591,480/89,258,937
  6. Step 6: Final answer
    x = 213,133,256.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.