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Finding the Third Proportional to 353,842,114.50 and 553,864,042.50

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Solution

The third proportional to 353,842,114.50 and 553,864,042.50 is: 866,955,529.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,842,114.50 : 553,864,042.50 = 553,864,042.50 : x
  2. Step 2: Convert to fraction form
    353,842,114.50/553,864,042.50 = 553,864,042.50/x
  3. Step 3: Cross multiply
    353,842,114.50x = 553,864,042.50 × 553,864,042.50
  4. Step 4: Simplify right side
    353,842,114.50x = 306,765,377,574,441,792
  5. Step 5: Solve for x
    x = 306,765,377,574,441,792/353,842,114.50
  6. Step 6: Final answer
    x = 866,955,529.04

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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.