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Finding the Third Proportional to 141,013,289.25 and 309,267,084.38

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Solution

The third proportional to 141,013,289.25 and 309,267,084.38 is: 678,277,416.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013,289.25 : 309,267,084.38 = 309,267,084.38 : x
  2. Step 2: Convert to fraction form
    141,013,289.25/309,267,084.38 = 309,267,084.38/x
  3. Step 3: Cross multiply
    141,013,289.25x = 309,267,084.38 × 309,267,084.38
  4. Step 4: Simplify right side
    141,013,289.25x = 95,646,129,477,813,376
  5. Step 5: Solve for x
    x = 95,646,129,477,813,376/141,013,289.25
  6. Step 6: Final answer
    x = 678,277,416.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.