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Finding the Third Proportional to 175,439,708,806 and 384,512,359,315

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Solution

The third proportional to 175,439,708,806 and 384,512,359,315 is: 842,738,257,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,439,708,806 : 384,512,359,315 = 384,512,359,315 : x
  2. Step 2: Convert to fraction form
    175,439,708,806/384,512,359,315 = 384,512,359,315/x
  3. Step 3: Cross multiply
    175,439,708,806x = 384,512,359,315 × 384,512,359,315
  4. Step 4: Simplify right side
    175,439,708,806x = 147,849,754,465,987,675,029,504
  5. Step 5: Solve for x
    x = 147,849,754,465,987,675,029,504/175,439,708,806
  6. Step 6: Final answer
    x = 842,738,257,331.92

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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.