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Finding the Third Proportional to 150,376,561 and 239,278,666.50

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Solution

The third proportional to 150,376,561 and 239,278,666.50 is: 380,739,390.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,376,561 : 239,278,666.50 = 239,278,666.50 : x
  2. Step 2: Convert to fraction form
    150,376,561/239,278,666.50 = 239,278,666.50/x
  3. Step 3: Cross multiply
    150,376,561x = 239,278,666.50 × 239,278,666.50
  4. Step 4: Simplify right side
    150,376,561x = 57,254,280,242,018,224
  5. Step 5: Solve for x
    x = 57,254,280,242,018,224/150,376,561
  6. Step 6: Final answer
    x = 380,739,390.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.