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Finding the Third Proportional to 99,918,421.50 and 149,877,616.50

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Solution

The third proportional to 99,918,421.50 and 149,877,616.50 is: 224,816,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918,421.50 : 149,877,616.50 = 149,877,616.50 : x
  2. Step 2: Convert to fraction form
    99,918,421.50/149,877,616.50 = 149,877,616.50/x
  3. Step 3: Cross multiply
    99,918,421.50x = 149,877,616.50 × 149,877,616.50
  4. Step 4: Simplify right side
    99,918,421.50x = 22,463,299,927,721,072
  5. Step 5: Solve for x
    x = 22,463,299,927,721,072/99,918,421.50
  6. Step 6: Final answer
    x = 224,816,401.13

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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.