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Finding the Third Proportional to 151,939,840 and 309,249,328

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Solution

The third proportional to 151,939,840 and 309,249,328 is: 629,427,718.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,939,840 : 309,249,328 = 309,249,328 : x
  2. Step 2: Convert to fraction form
    151,939,840/309,249,328 = 309,249,328/x
  3. Step 3: Cross multiply
    151,939,840x = 309,249,328 × 309,249,328
  4. Step 4: Simplify right side
    151,939,840x = 95,635,146,868,451,584
  5. Step 5: Solve for x
    x = 95,635,146,868,451,584/151,939,840
  6. Step 6: Final answer
    x = 629,427,718.68

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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.