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Finding the Third Proportional to 175,709,376 and 257,096,046

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Solution

The third proportional to 175,709,376 and 257,096,046 is: 376,180,135.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,709,376 : 257,096,046 = 257,096,046 : x
  2. Step 2: Convert to fraction form
    175,709,376/257,096,046 = 257,096,046/x
  3. Step 3: Cross multiply
    175,709,376x = 257,096,046 × 257,096,046
  4. Step 4: Simplify right side
    175,709,376x = 66,098,376,868,834,112
  5. Step 5: Solve for x
    x = 66,098,376,868,834,112/175,709,376
  6. Step 6: Final answer
    x = 376,180,135.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.