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Finding the Third Proportional to 238,910,443.84 and 563,178,340.58

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Solution

The third proportional to 238,910,443.84 and 563,178,340.58 is: 1,327,567,929.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,910,443.84 : 563,178,340.58 = 563,178,340.58 : x
  2. Step 2: Convert to fraction form
    238,910,443.84/563,178,340.58 = 563,178,340.58/x
  3. Step 3: Cross multiply
    238,910,443.84x = 563,178,340.58 × 563,178,340.58
  4. Step 4: Simplify right side
    238,910,443.84x = 317,169,843,300,740,160
  5. Step 5: Solve for x
    x = 317,169,843,300,740,160/238,910,443.84
  6. Step 6: Final answer
    x = 1,327,567,929.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.