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Finding the Third Proportional to 124,767,516 and 278,223,108

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Solution

The third proportional to 124,767,516 and 278,223,108 is: 620,418,681.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,767,516 : 278,223,108 = 278,223,108 : x
  2. Step 2: Convert to fraction form
    124,767,516/278,223,108 = 278,223,108/x
  3. Step 3: Cross multiply
    124,767,516x = 278,223,108 × 278,223,108
  4. Step 4: Simplify right side
    124,767,516x = 77,408,097,825,179,664
  5. Step 5: Solve for x
    x = 77,408,097,825,179,664/124,767,516
  6. Step 6: Final answer
    x = 620,418,681.94

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.