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Finding the Third Proportional to 69,646.55 and 152,643.63

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Solution

The third proportional to 69,646.55 and 152,643.63 is: 334,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,646.55 : 152,643.63 = 152,643.63 : x
  2. Step 2: Convert to fraction form
    69,646.55/152,643.63 = 152,643.63/x
  3. Step 3: Cross multiply
    69,646.55x = 152,643.63 × 152,643.63
  4. Step 4: Simplify right side
    69,646.55x = 23,300,077,743.80
  5. Step 5: Solve for x
    x = 23,300,077,743.80/69,646.55
  6. Step 6: Final answer
    x = 334,547.47

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