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Finding the Third Proportional to 165,716,203.50 and 249,266,173.50

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Solution

The third proportional to 165,716,203.50 and 249,266,173.50 is: 374,939,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,716,203.50 : 249,266,173.50 = 249,266,173.50 : x
  2. Step 2: Convert to fraction form
    165,716,203.50/249,266,173.50 = 249,266,173.50/x
  3. Step 3: Cross multiply
    165,716,203.50x = 249,266,173.50 × 249,266,173.50
  4. Step 4: Simplify right side
    165,716,203.50x = 62,133,625,251,332,104
  5. Step 5: Solve for x
    x = 62,133,625,251,332,104/165,716,203.50
  6. Step 6: Final answer
    x = 374,939,951.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.