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Finding the Third Proportional to 97,765,387.50 and 212,345,913

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Solution

The third proportional to 97,765,387.50 and 212,345,913 is: 461,214,218.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,765,387.50 : 212,345,913 = 212,345,913 : x
  2. Step 2: Convert to fraction form
    97,765,387.50/212,345,913 = 212,345,913/x
  3. Step 3: Cross multiply
    97,765,387.50x = 212,345,913 × 212,345,913
  4. Step 4: Simplify right side
    97,765,387.50x = 45,090,786,767,803,568
  5. Step 5: Solve for x
    x = 45,090,786,767,803,568/97,765,387.50
  6. Step 6: Final answer
    x = 461,214,218.25

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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.