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Finding the Third Proportional to 152,099,690 and 328,445,632

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Solution

The third proportional to 152,099,690 and 328,445,632 is: 709,248,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,099,690 : 328,445,632 = 328,445,632 : x
  2. Step 2: Convert to fraction form
    152,099,690/328,445,632 = 328,445,632/x
  3. Step 3: Cross multiply
    152,099,690x = 328,445,632 × 328,445,632
  4. Step 4: Simplify right side
    152,099,690x = 107,876,533,179,879,424
  5. Step 5: Solve for x
    x = 107,876,533,179,879,424/152,099,690
  6. Step 6: Final answer
    x = 709,248,869.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.