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Finding the Third Proportional to 221,552,184 and 484,799,280

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Solution

The third proportional to 221,552,184 and 484,799,280 is: 1,060,835,138.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,552,184 : 484,799,280 = 484,799,280 : x
  2. Step 2: Convert to fraction form
    221,552,184/484,799,280 = 484,799,280/x
  3. Step 3: Cross multiply
    221,552,184x = 484,799,280 × 484,799,280
  4. Step 4: Simplify right side
    221,552,184x = 235,030,341,888,518,400
  5. Step 5: Solve for x
    x = 235,030,341,888,518,400/221,552,184
  6. Step 6: Final answer
    x = 1,060,835,138.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.