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Finding the Third Proportional to 223,266,465,456 and 343,176,564,744

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Solution

The third proportional to 223,266,465,456 and 343,176,564,744 is: 527,486,984,437.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266,465,456 : 343,176,564,744 = 343,176,564,744 : x
  2. Step 2: Convert to fraction form
    223,266,465,456/343,176,564,744 = 343,176,564,744/x
  3. Step 3: Cross multiply
    223,266,465,456x = 343,176,564,744 × 343,176,564,744
  4. Step 4: Simplify right side
    223,266,465,456x = 117,770,154,589,492,829,224,960
  5. Step 5: Solve for x
    x = 117,770,154,589,492,829,224,960/223,266,465,456
  6. Step 6: Final answer
    x = 527,486,984,437.90

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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.