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Finding the Third Proportional to 64,252,298.25 and 97,884,196.88

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Solution

The third proportional to 64,252,298.25 and 97,884,196.88 is: 149,120,206.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,252,298.25 : 97,884,196.88 = 97,884,196.88 : x
  2. Step 2: Convert to fraction form
    64,252,298.25/97,884,196.88 = 97,884,196.88/x
  3. Step 3: Cross multiply
    64,252,298.25x = 97,884,196.88 × 97,884,196.88
  4. Step 4: Simplify right side
    64,252,298.25x = 9,581,315,997,863,760
  5. Step 5: Solve for x
    x = 9,581,315,997,863,760/64,252,298.25
  6. Step 6: Final answer
    x = 149,120,206.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.