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Finding the Third Proportional to 46,820.53 and 102,386.53

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Solution

The third proportional to 46,820.53 and 102,386.53 is: 223,897.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,820.53 : 102,386.53 = 102,386.53 : x
  2. Step 2: Convert to fraction form
    46,820.53/102,386.53 = 102,386.53/x
  3. Step 3: Cross multiply
    46,820.53x = 102,386.53 × 102,386.53
  4. Step 4: Simplify right side
    46,820.53x = 10,483,001,781.41
  5. Step 5: Solve for x
    x = 10,483,001,781.41/46,820.53
  6. Step 6: Final answer
    x = 223,897.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.