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Finding the Third Proportional to 358,995,535.88 and 786,092,338.13

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Solution

The third proportional to 358,995,535.88 and 786,092,338.13 is: 1,721,305,983.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,995,535.88 : 786,092,338.13 = 786,092,338.13 : x
  2. Step 2: Convert to fraction form
    358,995,535.88/786,092,338.13 = 786,092,338.13/x
  3. Step 3: Cross multiply
    358,995,535.88x = 786,092,338.13 × 786,092,338.13
  4. Step 4: Simplify right side
    358,995,535.88x = 617,941,164,058,829,312
  5. Step 5: Solve for x
    x = 617,941,164,058,829,312/358,995,535.88
  6. Step 6: Final answer
    x = 1,721,305,983.80

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Why These Related Problems?

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