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Finding the Third Proportional to 192,854,520 and 291,020,688

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Solution

The third proportional to 192,854,520 and 291,020,688 is: 439,155,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,854,520 : 291,020,688 = 291,020,688 : x
  2. Step 2: Convert to fraction form
    192,854,520/291,020,688 = 291,020,688/x
  3. Step 3: Cross multiply
    192,854,520x = 291,020,688 × 291,020,688
  4. Step 4: Simplify right side
    192,854,520x = 84,693,040,843,993,344
  5. Step 5: Solve for x
    x = 84,693,040,843,993,344/192,854,520
  6. Step 6: Final answer
    x = 439,155,073.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.