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Finding the Third Proportional to 362,773,113.75 and 547,166,253.38

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Solution

The third proportional to 362,773,113.75 and 547,166,253.38 is: 825,284,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,773,113.75 : 547,166,253.38 = 547,166,253.38 : x
  2. Step 2: Convert to fraction form
    362,773,113.75/547,166,253.38 = 547,166,253.38/x
  3. Step 3: Cross multiply
    362,773,113.75x = 547,166,253.38 × 547,166,253.38
  4. Step 4: Simplify right side
    362,773,113.75x = 299,390,908,832,434,688
  5. Step 5: Solve for x
    x = 299,390,908,832,434,688/362,773,113.75
  6. Step 6: Final answer
    x = 825,284,172.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.