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Finding the Third Proportional to 97,426,468 and 212,003,920

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Solution

The third proportional to 97,426,468 and 212,003,920 is: 461,329,072.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,426,468 : 212,003,920 = 212,003,920 : x
  2. Step 2: Convert to fraction form
    97,426,468/212,003,920 = 212,003,920/x
  3. Step 3: Cross multiply
    97,426,468x = 212,003,920 × 212,003,920
  4. Step 4: Simplify right side
    97,426,468x = 44,945,662,095,366,400
  5. Step 5: Solve for x
    x = 44,945,662,095,366,400/97,426,468
  6. Step 6: Final answer
    x = 461,329,072.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.