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Finding the Third Proportional to 88,200 and 190,547.25

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Solution

The third proportional to 88,200 and 190,547.25 is: 411,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,200 : 190,547.25 = 190,547.25 : x
  2. Step 2: Convert to fraction form
    88,200/190,547.25 = 190,547.25/x
  3. Step 3: Cross multiply
    88,200x = 190,547.25 × 190,547.25
  4. Step 4: Simplify right side
    88,200x = 36,308,254,482.56
  5. Step 5: Solve for x
    x = 36,308,254,482.56/88,200
  6. Step 6: Final answer
    x = 411,658.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.