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Finding the Third Proportional to 141,047,496 and 213,704,412

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Solution

The third proportional to 141,047,496 and 213,704,412 is: 323,788,631.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,047,496 : 213,704,412 = 213,704,412 : x
  2. Step 2: Convert to fraction form
    141,047,496/213,704,412 = 213,704,412/x
  3. Step 3: Cross multiply
    141,047,496x = 213,704,412 × 213,704,412
  4. Step 4: Simplify right side
    141,047,496x = 45,669,575,708,265,744
  5. Step 5: Solve for x
    x = 45,669,575,708,265,744/141,047,496
  6. Step 6: Final answer
    x = 323,788,631.51

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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.