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Finding the Third Proportional to 141,849,434 and 307,911,496

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Solution

The third proportional to 141,849,434 and 307,911,496 is: 668,381,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,849,434 : 307,911,496 = 307,911,496 : x
  2. Step 2: Convert to fraction form
    141,849,434/307,911,496 = 307,911,496/x
  3. Step 3: Cross multiply
    141,849,434x = 307,911,496 × 307,911,496
  4. Step 4: Simplify right side
    141,849,434x = 94,809,489,368,958,016
  5. Step 5: Solve for x
    x = 94,809,489,368,958,016/141,849,434
  6. Step 6: Final answer
    x = 668,381,160.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.