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Finding the Third Proportional to 46,058.63 and 97,652.46

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Solution

The third proportional to 46,058.63 and 97,652.46 is: 207,040.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,058.63 : 97,652.46 = 97,652.46 : x
  2. Step 2: Convert to fraction form
    46,058.63/97,652.46 = 97,652.46/x
  3. Step 3: Cross multiply
    46,058.63x = 97,652.46 × 97,652.46
  4. Step 4: Simplify right side
    46,058.63x = 9,536,003,127.15
  5. Step 5: Solve for x
    x = 9,536,003,127.15/46,058.63
  6. Step 6: Final answer
    x = 207,040.55

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.