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Finding the Third Proportional to 89,409,984 and 136,681,200

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Solution

The third proportional to 89,409,984 and 136,681,200 is: 208,944,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,409,984 : 136,681,200 = 136,681,200 : x
  2. Step 2: Convert to fraction form
    89,409,984/136,681,200 = 136,681,200/x
  3. Step 3: Cross multiply
    89,409,984x = 136,681,200 × 136,681,200
  4. Step 4: Simplify right side
    89,409,984x = 18,681,750,433,440,000
  5. Step 5: Solve for x
    x = 18,681,750,433,440,000/89,409,984
  6. Step 6: Final answer
    x = 208,944,791.15

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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.