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Finding the Third Proportional to 161,931,442 and 352,614,644

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Solution

The third proportional to 161,931,442 and 352,614,644 is: 767,837,830.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,931,442 : 352,614,644 = 352,614,644 : x
  2. Step 2: Convert to fraction form
    161,931,442/352,614,644 = 352,614,644/x
  3. Step 3: Cross multiply
    161,931,442x = 352,614,644 × 352,614,644
  4. Step 4: Simplify right side
    161,931,442x = 124,337,087,163,246,736
  5. Step 5: Solve for x
    x = 124,337,087,163,246,736/161,931,442
  6. Step 6: Final answer
    x = 767,837,830.80

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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.