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Finding the Third Proportional to 97,569,522 and 212,144,508

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Solution

The third proportional to 97,569,522 and 212,144,508 is: 461,263,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569,522 : 212,144,508 = 212,144,508 : x
  2. Step 2: Convert to fraction form
    97,569,522/212,144,508 = 212,144,508/x
  3. Step 3: Cross multiply
    97,569,522x = 212,144,508 × 212,144,508
  4. Step 4: Simplify right side
    97,569,522x = 45,005,292,274,562,064
  5. Step 5: Solve for x
    x = 45,005,292,274,562,064/97,569,522
  6. Step 6: Final answer
    x = 461,263,838.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.