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Finding the Third Proportional to 46,323.38 and 101,117.63

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Solution

The third proportional to 46,323.38 and 101,117.63 is: 220,726.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,323.38 : 101,117.63 = 101,117.63 : x
  2. Step 2: Convert to fraction form
    46,323.38/101,117.63 = 101,117.63/x
  3. Step 3: Cross multiply
    46,323.38x = 101,117.63 × 101,117.63
  4. Step 4: Simplify right side
    46,323.38x = 10,224,774,085.64
  5. Step 5: Solve for x
    x = 10,224,774,085.64/46,323.38
  6. Step 6: Final answer
    x = 220,726.02

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