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Finding the Third Proportional to 141,798,042 and 307,796,454

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Solution

The third proportional to 141,798,042 and 307,796,454 is: 668,123,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,798,042 : 307,796,454 = 307,796,454 : x
  2. Step 2: Convert to fraction form
    141,798,042/307,796,454 = 307,796,454/x
  3. Step 3: Cross multiply
    141,798,042x = 307,796,454 × 307,796,454
  4. Step 4: Simplify right side
    141,798,042x = 94,738,657,094,974,112
  5. Step 5: Solve for x
    x = 94,738,657,094,974,112/141,798,042
  6. Step 6: Final answer
    x = 668,123,873.64

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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.