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Finding the Third Proportional to 234,950,085 and 497,908,147.50

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Solution

The third proportional to 234,950,085 and 497,908,147.50 is: 1,055,171,030.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,950,085 : 497,908,147.50 = 497,908,147.50 : x
  2. Step 2: Convert to fraction form
    234,950,085/497,908,147.50 = 497,908,147.50/x
  3. Step 3: Cross multiply
    234,950,085x = 497,908,147.50 × 497,908,147.50
  4. Step 4: Simplify right side
    234,950,085x = 247,912,523,346,881,760
  5. Step 5: Solve for x
    x = 247,912,523,346,881,760/234,950,085
  6. Step 6: Final answer
    x = 1,055,171,030.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.