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Finding the Third Proportional to 97,569,557 and 212,144,578

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Solution

The third proportional to 97,569,557 and 212,144,578 is: 461,263,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,569,557 : 212,144,578 = 212,144,578 : x
  2. Step 2: Convert to fraction form
    97,569,557/212,144,578 = 212,144,578/x
  3. Step 3: Cross multiply
    97,569,557x = 212,144,578 × 212,144,578
  4. Step 4: Simplify right side
    97,569,557x = 45,005,321,974,798,080
  5. Step 5: Solve for x
    x = 45,005,321,974,798,080/97,569,557
  6. Step 6: Final answer
    x = 461,263,977.81

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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.