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Finding the Third Proportional to 230,785,416 and 330,001,020

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Solution

The third proportional to 230,785,416 and 330,001,020 is: 471,869,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,785,416 : 330,001,020 = 330,001,020 : x
  2. Step 2: Convert to fraction form
    230,785,416/330,001,020 = 330,001,020/x
  3. Step 3: Cross multiply
    230,785,416x = 330,001,020 × 330,001,020
  4. Step 4: Simplify right side
    230,785,416x = 108,900,673,201,040,400
  5. Step 5: Solve for x
    x = 108,900,673,201,040,400/230,785,416
  6. Step 6: Final answer
    x = 471,869,822.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.