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Finding the Third Proportional to 213,588,892.50 and 320,952,051

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Solution

The third proportional to 213,588,892.50 and 320,952,051 is: 482,282,659.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,588,892.50 : 320,952,051 = 320,952,051 : x
  2. Step 2: Convert to fraction form
    213,588,892.50/320,952,051 = 320,952,051/x
  3. Step 3: Cross multiply
    213,588,892.50x = 320,952,051 × 320,952,051
  4. Step 4: Simplify right side
    213,588,892.50x = 103,010,219,041,106,608
  5. Step 5: Solve for x
    x = 103,010,219,041,106,608/213,588,892.50
  6. Step 6: Final answer
    x = 482,282,659.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.