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Finding the Third Proportional to 133,967,552.63 and 287,318,874.38

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Solution

The third proportional to 133,967,552.63 and 287,318,874.38 is: 616,209,925.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,967,552.63 : 287,318,874.38 = 287,318,874.38 : x
  2. Step 2: Convert to fraction form
    133,967,552.63/287,318,874.38 = 287,318,874.38/x
  3. Step 3: Cross multiply
    133,967,552.63x = 287,318,874.38 × 287,318,874.38
  4. Step 4: Simplify right side
    133,967,552.63x = 82,552,135,572,117,024
  5. Step 5: Solve for x
    x = 82,552,135,572,117,024/133,967,552.63
  6. Step 6: Final answer
    x = 616,209,925.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.