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Finding the Third Proportional to 223,266,465,664 and 343,176,565,088

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Solution

The third proportional to 223,266,465,664 and 343,176,565,088 is: 527,486,985,003.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,266,465,664 : 343,176,565,088 = 343,176,565,088 : x
  2. Step 2: Convert to fraction form
    223,266,465,664/343,176,565,088 = 343,176,565,088/x
  3. Step 3: Cross multiply
    223,266,465,664x = 343,176,565,088 × 343,176,565,088
  4. Step 4: Simplify right side
    223,266,465,664x = 117,770,154,825,598,304,780,288
  5. Step 5: Solve for x
    x = 117,770,154,825,598,304,780,288/223,266,465,664
  6. Step 6: Final answer
    x = 527,486,985,003.98

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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.