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Finding the Third Proportional to 242,510,349 and 379,930,066.50

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Solution

The third proportional to 242,510,349 and 379,930,066.50 is: 595,219,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,510,349 : 379,930,066.50 = 379,930,066.50 : x
  2. Step 2: Convert to fraction form
    242,510,349/379,930,066.50 = 379,930,066.50/x
  3. Step 3: Cross multiply
    242,510,349x = 379,930,066.50 × 379,930,066.50
  4. Step 4: Simplify right side
    242,510,349x = 144,346,855,430,694,432
  5. Step 5: Solve for x
    x = 144,346,855,430,694,432/242,510,349
  6. Step 6: Final answer
    x = 595,219,362.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.