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Finding the Third Proportional to 141,439,304.25 and 211,287,710.25

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Solution

The third proportional to 141,439,304.25 and 211,287,710.25 is: 315,630,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,439,304.25 : 211,287,710.25 = 211,287,710.25 : x
  2. Step 2: Convert to fraction form
    141,439,304.25/211,287,710.25 = 211,287,710.25/x
  3. Step 3: Cross multiply
    141,439,304.25x = 211,287,710.25 × 211,287,710.25
  4. Step 4: Simplify right side
    141,439,304.25x = 44,642,496,502,687,952
  5. Step 5: Solve for x
    x = 44,642,496,502,687,952/141,439,304.25
  6. Step 6: Final answer
    x = 315,630,062.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.