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Finding the Third Proportional to 223,266,465,458 and 343,176,564,747

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Solution

The third proportional to 223,266,465,458 and 343,176,564,747 is: 527,486,984,442.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266,465,458 : 343,176,564,747 = 343,176,564,747 : x
  2. Step 2: Convert to fraction form
    223,266,465,458/343,176,564,747 = 343,176,564,747/x
  3. Step 3: Cross multiply
    223,266,465,458x = 343,176,564,747 × 343,176,564,747
  4. Step 4: Simplify right side
    223,266,465,458x = 117,770,154,591,551,880,167,424
  5. Step 5: Solve for x
    x = 117,770,154,591,551,880,167,424/223,266,465,458
  6. Step 6: Final answer
    x = 527,486,984,442.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.