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Finding the Third Proportional to 89,409,915 and 136,681,097

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Solution

The third proportional to 89,409,915 and 136,681,097 is: 208,944,637.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,409,915 : 136,681,097 = 136,681,097 : x
  2. Step 2: Convert to fraction form
    89,409,915/136,681,097 = 136,681,097/x
  3. Step 3: Cross multiply
    89,409,915x = 136,681,097 × 136,681,097
  4. Step 4: Simplify right side
    89,409,915x = 18,681,722,277,123,408
  5. Step 5: Solve for x
    x = 18,681,722,277,123,408/89,409,915
  6. Step 6: Final answer
    x = 208,944,637.48

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.