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Finding the Third Proportional to 115,000,774 and 249,405,100

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Solution

The third proportional to 115,000,774 and 249,405,100 is: 540,891,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,000,774 : 249,405,100 = 249,405,100 : x
  2. Step 2: Convert to fraction form
    115,000,774/249,405,100 = 249,405,100/x
  3. Step 3: Cross multiply
    115,000,774x = 249,405,100 × 249,405,100
  4. Step 4: Simplify right side
    115,000,774x = 62,202,903,906,010,000
  5. Step 5: Solve for x
    x = 62,202,903,906,010,000/115,000,774
  6. Step 6: Final answer
    x = 540,891,176.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.