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Finding the Third Proportional to 269,957,799 and 403,167,688.50

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Solution

The third proportional to 269,957,799 and 403,167,688.50 is: 602,109,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,957,799 : 403,167,688.50 = 403,167,688.50 : x
  2. Step 2: Convert to fraction form
    269,957,799/403,167,688.50 = 403,167,688.50/x
  3. Step 3: Cross multiply
    269,957,799x = 403,167,688.50 × 403,167,688.50
  4. Step 4: Simplify right side
    269,957,799x = 162,544,185,050,433,024
  5. Step 5: Solve for x
    x = 162,544,185,050,433,024/269,957,799
  6. Step 6: Final answer
    x = 602,109,609.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.