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Finding the Third Proportional to 141,905,424 and 305,960,784

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Solution

The third proportional to 141,905,424 and 305,960,784 is: 659,678,810.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905,424 : 305,960,784 = 305,960,784 : x
  2. Step 2: Convert to fraction form
    141,905,424/305,960,784 = 305,960,784/x
  3. Step 3: Cross multiply
    141,905,424x = 305,960,784 × 305,960,784
  4. Step 4: Simplify right side
    141,905,424x = 93,612,001,345,894,656
  5. Step 5: Solve for x
    x = 93,612,001,345,894,656/141,905,424
  6. Step 6: Final answer
    x = 659,678,810.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.