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Finding the Third Proportional to 230,248,919 and 469,746,922

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Solution

The third proportional to 230,248,919 and 469,746,922 is: 958,363,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,248,919 : 469,746,922 = 469,746,922 : x
  2. Step 2: Convert to fraction form
    230,248,919/469,746,922 = 469,746,922/x
  3. Step 3: Cross multiply
    230,248,919x = 469,746,922 × 469,746,922
  4. Step 4: Simplify right side
    230,248,919x = 220,662,170,728,474,080
  5. Step 5: Solve for x
    x = 220,662,170,728,474,080/230,248,919
  6. Step 6: Final answer
    x = 958,363,547.10

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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.