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Finding the Third Proportional to 89,098,470 and 141,774,596

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Solution

The third proportional to 89,098,470 and 141,774,596 is: 225,593,504.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,098,470 : 141,774,596 = 141,774,596 : x
  2. Step 2: Convert to fraction form
    89,098,470/141,774,596 = 141,774,596/x
  3. Step 3: Cross multiply
    89,098,470x = 141,774,596 × 141,774,596
  4. Step 4: Simplify right side
    89,098,470x = 20,100,036,070,963,216
  5. Step 5: Solve for x
    x = 20,100,036,070,963,216/89,098,470
  6. Step 6: Final answer
    x = 225,593,504.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.