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Finding the Third Proportional to 97,765,375 and 212,345,887

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Solution

The third proportional to 97,765,375 and 212,345,887 is: 461,214,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765,375 : 212,345,887 = 212,345,887 : x
  2. Step 2: Convert to fraction form
    97,765,375/212,345,887 = 212,345,887/x
  3. Step 3: Cross multiply
    97,765,375x = 212,345,887 × 212,345,887
  4. Step 4: Simplify right side
    97,765,375x = 45,090,775,725,816,768
  5. Step 5: Solve for x
    x = 45,090,775,725,816,768/97,765,375
  6. Step 6: Final answer
    x = 461,214,164.28

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