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Finding the Third Proportional to 119,013,715.13 and 183,906,514.13

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Solution

The third proportional to 119,013,715.13 and 183,906,514.13 is: 284,182,423.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,013,715.13 : 183,906,514.13 = 183,906,514.13 : x
  2. Step 2: Convert to fraction form
    119,013,715.13/183,906,514.13 = 183,906,514.13/x
  3. Step 3: Cross multiply
    119,013,715.13x = 183,906,514.13 × 183,906,514.13
  4. Step 4: Simplify right side
    119,013,715.13x = 33,821,605,937,608,824
  5. Step 5: Solve for x
    x = 33,821,605,937,608,824/119,013,715.13
  6. Step 6: Final answer
    x = 284,182,423.03

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.