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Finding the Third Proportional to 259,423,215.75 and 566,715,487.50

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Solution

The third proportional to 259,423,215.75 and 566,715,487.50 is: 1,238,001,937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,423,215.75 : 566,715,487.50 = 566,715,487.50 : x
  2. Step 2: Convert to fraction form
    259,423,215.75/566,715,487.50 = 566,715,487.50/x
  3. Step 3: Cross multiply
    259,423,215.75x = 566,715,487.50 × 566,715,487.50
  4. Step 4: Simplify right side
    259,423,215.75x = 321,166,443,772,362,688
  5. Step 5: Solve for x
    x = 321,166,443,772,362,688/259,423,215.75
  6. Step 6: Final answer
    x = 1,238,001,937.66

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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.