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Finding the Third Proportional to 124,256,598 and 194,497,209

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Solution

The third proportional to 124,256,598 and 194,497,209 is: 304,443,908.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,256,598 : 194,497,209 = 194,497,209 : x
  2. Step 2: Convert to fraction form
    124,256,598/194,497,209 = 194,497,209/x
  3. Step 3: Cross multiply
    124,256,598x = 194,497,209 × 194,497,209
  4. Step 4: Simplify right side
    124,256,598x = 37,829,164,308,789,680
  5. Step 5: Solve for x
    x = 37,829,164,308,789,680/124,256,598
  6. Step 6: Final answer
    x = 304,443,908.15

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.