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Finding the Third Proportional to 240,194,484 and 524,432,231

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Solution

The third proportional to 240,194,484 and 524,432,231 is: 1,145,026,981.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,194,484 : 524,432,231 = 524,432,231 : x
  2. Step 2: Convert to fraction form
    240,194,484/524,432,231 = 524,432,231/x
  3. Step 3: Cross multiply
    240,194,484x = 524,432,231 × 524,432,231
  4. Step 4: Simplify right side
    240,194,484x = 275,029,164,911,637,376
  5. Step 5: Solve for x
    x = 275,029,164,911,637,376/240,194,484
  6. Step 6: Final answer
    x = 1,145,026,981.18

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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.