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Finding the Third Proportional to 221,460,088 and 484,626,812

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Solution

The third proportional to 221,460,088 and 484,626,812 is: 1,060,521,329.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,460,088 : 484,626,812 = 484,626,812 : x
  2. Step 2: Convert to fraction form
    221,460,088/484,626,812 = 484,626,812/x
  3. Step 3: Cross multiply
    221,460,088x = 484,626,812 × 484,626,812
  4. Step 4: Simplify right side
    221,460,088x = 234,863,146,909,283,328
  5. Step 5: Solve for x
    x = 234,863,146,909,283,328/221,460,088
  6. Step 6: Final answer
    x = 1,060,521,329.28

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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.