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Finding the Third Proportional to 161,264,225.25 and 249,025,311

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Solution

The third proportional to 161,264,225.25 and 249,025,311 is: 384,546,575.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,264,225.25 : 249,025,311 = 249,025,311 : x
  2. Step 2: Convert to fraction form
    161,264,225.25/249,025,311 = 249,025,311/x
  3. Step 3: Cross multiply
    161,264,225.25x = 249,025,311 × 249,025,311
  4. Step 4: Simplify right side
    161,264,225.25x = 62,013,605,518,646,720
  5. Step 5: Solve for x
    x = 62,013,605,518,646,720/161,264,225.25
  6. Step 6: Final answer
    x = 384,546,575.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.