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Finding the Third Proportional to 99,918,411 and 149,877,607

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Solution

The third proportional to 99,918,411 and 149,877,607 is: 224,816,396.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918,411 : 149,877,607 = 149,877,607 : x
  2. Step 2: Convert to fraction form
    99,918,411/149,877,607 = 149,877,607/x
  3. Step 3: Cross multiply
    99,918,411x = 149,877,607 × 149,877,607
  4. Step 4: Simplify right side
    99,918,411x = 22,463,297,080,046,448
  5. Step 5: Solve for x
    x = 22,463,297,080,046,448/99,918,411
  6. Step 6: Final answer
    x = 224,816,396.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.