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Finding the Third Proportional to 161,263,253.50 and 249,023,964

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Solution

The third proportional to 161,263,253.50 and 249,023,964 is: 384,544,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,263,253.50 : 249,023,964 = 249,023,964 : x
  2. Step 2: Convert to fraction form
    161,263,253.50/249,023,964 = 249,023,964/x
  3. Step 3: Cross multiply
    161,263,253.50x = 249,023,964 × 249,023,964
  4. Step 4: Simplify right side
    161,263,253.50x = 62,012,934,646,273,296
  5. Step 5: Solve for x
    x = 62,012,934,646,273,296/161,263,253.50
  6. Step 6: Final answer
    x = 384,544,732.30

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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.