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Finding the Third Proportional to 134,389,174,348 and 287,947,129,184

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Solution

The third proportional to 134,389,174,348 and 287,947,129,184 is: 616,965,984,109.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,389,174,348 : 287,947,129,184 = 287,947,129,184 : x
  2. Step 2: Convert to fraction form
    134,389,174,348/287,947,129,184 = 287,947,129,184/x
  3. Step 3: Cross multiply
    134,389,174,348x = 287,947,129,184 × 287,947,129,184
  4. Step 4: Simplify right side
    134,389,174,348x = 82,913,549,205,307,178,090,496
  5. Step 5: Solve for x
    x = 82,913,549,205,307,178,090,496/134,389,174,348
  6. Step 6: Final answer
    x = 616,965,984,109.73

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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.