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Finding the Third Proportional to 234,757,023 and 514,863,630

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Solution

The third proportional to 234,757,023 and 514,863,630 is: 1,129,186,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,757,023 : 514,863,630 = 514,863,630 : x
  2. Step 2: Convert to fraction form
    234,757,023/514,863,630 = 514,863,630/x
  3. Step 3: Cross multiply
    234,757,023x = 514,863,630 × 514,863,630
  4. Step 4: Simplify right side
    234,757,023x = 265,084,557,496,776,896
  5. Step 5: Solve for x
    x = 265,084,557,496,776,896/234,757,023
  6. Step 6: Final answer
    x = 1,129,186,910.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.