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Finding the Third Proportional to 97,572,921 and 133,790,962.50

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Solution

The third proportional to 97,572,921 and 133,790,962.50 is: 183,452,759.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,572,921 : 133,790,962.50 = 133,790,962.50 : x
  2. Step 2: Convert to fraction form
    97,572,921/133,790,962.50 = 133,790,962.50/x
  3. Step 3: Cross multiply
    97,572,921x = 133,790,962.50 × 133,790,962.50
  4. Step 4: Simplify right side
    97,572,921x = 17,900,021,646,676,406
  5. Step 5: Solve for x
    x = 17,900,021,646,676,406/97,572,921
  6. Step 6: Final answer
    x = 183,452,759.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.