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Finding the Third Proportional to 46,740.90 and 99,089.58

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Solution

The third proportional to 46,740.90 and 99,089.58 is: 210,067.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,740.90 : 99,089.58 = 99,089.58 : x
  2. Step 2: Convert to fraction form
    46,740.90/99,089.58 = 99,089.58/x
  3. Step 3: Cross multiply
    46,740.90x = 99,089.58 × 99,089.58
  4. Step 4: Simplify right side
    46,740.90x = 9,818,744,492.99
  5. Step 5: Solve for x
    x = 9,818,744,492.99/46,740.90
  6. Step 6: Final answer
    x = 210,067.50

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Why These Related Problems?

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