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Finding the Third Proportional to 231,703,992 and 349,710,746.50

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Solution

The third proportional to 231,703,992 and 349,710,746.50 is: 527,818,295.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,703,992 : 349,710,746.50 = 349,710,746.50 : x
  2. Step 2: Convert to fraction form
    231,703,992/349,710,746.50 = 349,710,746.50/x
  3. Step 3: Cross multiply
    231,703,992x = 349,710,746.50 × 349,710,746.50
  4. Step 4: Simplify right side
    231,703,992x = 122,297,606,217,587,264
  5. Step 5: Solve for x
    x = 122,297,606,217,587,264/231,703,992
  6. Step 6: Final answer
    x = 527,818,295.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.