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Finding the Third Proportional to 145,973,496 and 204,079,893

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Solution

The third proportional to 145,973,496 and 204,079,893 is: 285,316,196.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,973,496 : 204,079,893 = 204,079,893 : x
  2. Step 2: Convert to fraction form
    145,973,496/204,079,893 = 204,079,893/x
  3. Step 3: Cross multiply
    145,973,496x = 204,079,893 × 204,079,893
  4. Step 4: Simplify right side
    145,973,496x = 41,648,602,726,891,448
  5. Step 5: Solve for x
    x = 41,648,602,726,891,448/145,973,496
  6. Step 6: Final answer
    x = 285,316,196.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.