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Finding the Third Proportional to 106,304,794,506 and 250,942,629,321

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Solution

The third proportional to 106,304,794,506 and 250,942,629,321 is: 592,374,064,623.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,304,794,506 : 250,942,629,321 = 250,942,629,321 : x
  2. Step 2: Convert to fraction form
    106,304,794,506/250,942,629,321 = 250,942,629,321/x
  3. Step 3: Cross multiply
    106,304,794,506x = 250,942,629,321 × 250,942,629,321
  4. Step 4: Simplify right side
    106,304,794,506x = 62,972,203,210,536,808,087,552
  5. Step 5: Solve for x
    x = 62,972,203,210,536,808,087,552/106,304,794,506
  6. Step 6: Final answer
    x = 592,374,064,623.99

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.