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Finding the Third Proportional to 21,143,203.50 and 46,169,263.50

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Solution

The third proportional to 21,143,203.50 and 46,169,263.50 is: 100,817,309.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,143,203.50 : 46,169,263.50 = 46,169,263.50 : x
  2. Step 2: Convert to fraction form
    21,143,203.50/46,169,263.50 = 46,169,263.50/x
  3. Step 3: Cross multiply
    21,143,203.50x = 46,169,263.50 × 46,169,263.50
  4. Step 4: Simplify right side
    21,143,203.50x = 2,131,600,892,132,432.25
  5. Step 5: Solve for x
    x = 2,131,600,892,132,432.25/21,143,203.50
  6. Step 6: Final answer
    x = 100,817,309.55

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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.