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Finding the Third Proportional to 141,905,431 and 305,960,798

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Solution

The third proportional to 141,905,431 and 305,960,798 is: 659,678,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,905,431 : 305,960,798 = 305,960,798 : x
  2. Step 2: Convert to fraction form
    141,905,431/305,960,798 = 305,960,798/x
  3. Step 3: Cross multiply
    141,905,431x = 305,960,798 × 305,960,798
  4. Step 4: Simplify right side
    141,905,431x = 93,612,009,912,796,800
  5. Step 5: Solve for x
    x = 93,612,009,912,796,800/141,905,431
  6. Step 6: Final answer
    x = 659,678,838.60

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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.