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Finding the Third Proportional to 213,051,087 and 458,461,017

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Solution

The third proportional to 213,051,087 and 458,461,017 is: 986,554,478.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,051,087 : 458,461,017 = 458,461,017 : x
  2. Step 2: Convert to fraction form
    213,051,087/458,461,017 = 458,461,017/x
  3. Step 3: Cross multiply
    213,051,087x = 458,461,017 × 458,461,017
  4. Step 4: Simplify right side
    213,051,087x = 210,186,504,108,674,304
  5. Step 5: Solve for x
    x = 210,186,504,108,674,304/213,051,087
  6. Step 6: Final answer
    x = 986,554,478.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.