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Finding the Third Proportional to 96,741,316 and 210,488,438

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Solution

The third proportional to 96,741,316 and 210,488,438 is: 457,977,877.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,741,316 : 210,488,438 = 210,488,438 : x
  2. Step 2: Convert to fraction form
    96,741,316/210,488,438 = 210,488,438/x
  3. Step 3: Cross multiply
    96,741,316x = 210,488,438 × 210,488,438
  4. Step 4: Simplify right side
    96,741,316x = 44,305,382,531,679,840
  5. Step 5: Solve for x
    x = 44,305,382,531,679,840/96,741,316
  6. Step 6: Final answer
    x = 457,977,877.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.