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Finding the Third Proportional to 230,248,902 and 469,746,888

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Solution

The third proportional to 230,248,902 and 469,746,888 is: 958,363,479.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,248,902 : 469,746,888 = 469,746,888 : x
  2. Step 2: Convert to fraction form
    230,248,902/469,746,888 = 469,746,888/x
  3. Step 3: Cross multiply
    230,248,902x = 469,746,888 × 469,746,888
  4. Step 4: Simplify right side
    230,248,902x = 220,662,138,785,684,544
  5. Step 5: Solve for x
    x = 220,662,138,785,684,544/230,248,902
  6. Step 6: Final answer
    x = 958,363,479.13

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.