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Finding the Third Proportional to 232,818,292.50 and 365,223,709.50

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Solution

The third proportional to 232,818,292.50 and 365,223,709.50 is: 572,929,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,818,292.50 : 365,223,709.50 = 365,223,709.50 : x
  2. Step 2: Convert to fraction form
    232,818,292.50/365,223,709.50 = 365,223,709.50/x
  3. Step 3: Cross multiply
    232,818,292.50x = 365,223,709.50 × 365,223,709.50
  4. Step 4: Simplify right side
    232,818,292.50x = 133,388,357,980,940,384
  5. Step 5: Solve for x
    x = 133,388,357,980,940,384/232,818,292.50
  6. Step 6: Final answer
    x = 572,929,027.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.