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Finding the Third Proportional to 454,306,150 and 988,210,898.50

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Solution

The third proportional to 454,306,150 and 988,210,898.50 is: 2,149,565,397.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,306,150 : 988,210,898.50 = 988,210,898.50 : x
  2. Step 2: Convert to fraction form
    454,306,150/988,210,898.50 = 988,210,898.50/x
  3. Step 3: Cross multiply
    454,306,150x = 988,210,898.50 × 988,210,898.50
  4. Step 4: Simplify right side
    454,306,150x = 976,560,779,914,177,280
  5. Step 5: Solve for x
    x = 976,560,779,914,177,280/454,306,150
  6. Step 6: Final answer
    x = 2,149,565,397.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.