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Finding the Third Proportional to 46,133.30 and 99,135.14

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Solution

The third proportional to 46,133.30 and 99,135.14 is: 213,030.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,133.30 : 99,135.14 = 99,135.14 : x
  2. Step 2: Convert to fraction form
    46,133.30/99,135.14 = 99,135.14/x
  3. Step 3: Cross multiply
    46,133.30x = 99,135.14 × 99,135.14
  4. Step 4: Simplify right side
    46,133.30x = 9,827,776,106.74
  5. Step 5: Solve for x
    x = 9,827,776,106.74/46,133.30
  6. Step 6: Final answer
    x = 213,030.00

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.