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Finding the Third Proportional to 165,716,216 and 249,266,192

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Solution

The third proportional to 165,716,216 and 249,266,192 is: 374,939,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,716,216 : 249,266,192 = 249,266,192 : x
  2. Step 2: Convert to fraction form
    165,716,216/249,266,192 = 249,266,192/x
  3. Step 3: Cross multiply
    165,716,216x = 249,266,192 × 249,266,192
  4. Step 4: Simplify right side
    165,716,216x = 62,133,634,474,180,864
  5. Step 5: Solve for x
    x = 62,133,634,474,180,864/165,716,216
  6. Step 6: Final answer
    x = 374,939,978.56

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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.