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Finding the Third Proportional to 99,918,426 and 149,877,623

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Solution

The third proportional to 99,918,426 and 149,877,623 is: 224,816,410.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918,426 : 149,877,623 = 149,877,623 : x
  2. Step 2: Convert to fraction form
    99,918,426/149,877,623 = 149,877,623/x
  3. Step 3: Cross multiply
    99,918,426x = 149,877,623 × 149,877,623
  4. Step 4: Simplify right side
    99,918,426x = 22,463,301,876,130,128
  5. Step 5: Solve for x
    x = 22,463,301,876,130,128/99,918,426
  6. Step 6: Final answer
    x = 224,816,410.50

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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.