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Finding the Third Proportional to 100,698,830 and 155,496,604

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Solution

The third proportional to 100,698,830 and 155,496,604 is: 240,113,950.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,698,830 : 155,496,604 = 155,496,604 : x
  2. Step 2: Convert to fraction form
    100,698,830/155,496,604 = 155,496,604/x
  3. Step 3: Cross multiply
    100,698,830x = 155,496,604 × 155,496,604
  4. Step 4: Simplify right side
    100,698,830x = 24,179,193,855,532,816
  5. Step 5: Solve for x
    x = 24,179,193,855,532,816/100,698,830
  6. Step 6: Final answer
    x = 240,113,950.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.