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Finding the Third Proportional to 99,918,378 and 149,877,553

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Solution

The third proportional to 99,918,378 and 149,877,553 is: 224,816,308.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,918,378 : 149,877,553 = 149,877,553 : x
  2. Step 2: Convert to fraction form
    99,918,378/149,877,553 = 149,877,553/x
  3. Step 3: Cross multiply
    99,918,378x = 149,877,553 × 149,877,553
  4. Step 4: Simplify right side
    99,918,378x = 22,463,280,893,267,808
  5. Step 5: Solve for x
    x = 22,463,280,893,267,808/99,918,378
  6. Step 6: Final answer
    x = 224,816,308.50

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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.