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Finding the Third Proportional to 140,938,812 and 205,272,306

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Solution

The third proportional to 140,938,812 and 205,272,306 is: 298,971,724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,938,812 : 205,272,306 = 205,272,306 : x
  2. Step 2: Convert to fraction form
    140,938,812/205,272,306 = 205,272,306/x
  3. Step 3: Cross multiply
    140,938,812x = 205,272,306 × 205,272,306
  4. Step 4: Simplify right side
    140,938,812x = 42,136,719,610,557,632
  5. Step 5: Solve for x
    x = 42,136,719,610,557,632/140,938,812
  6. Step 6: Final answer
    x = 298,971,724.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.