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Finding the Third Proportional to 161,263,237.50 and 249,023,938.50

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Solution

The third proportional to 161,263,237.50 and 249,023,938.50 is: 384,544,691.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,263,237.50 : 249,023,938.50 = 249,023,938.50 : x
  2. Step 2: Convert to fraction form
    161,263,237.50/249,023,938.50 = 249,023,938.50/x
  3. Step 3: Cross multiply
    161,263,237.50x = 249,023,938.50 × 249,023,938.50
  4. Step 4: Simplify right side
    161,263,237.50x = 62,012,921,946,051,784
  5. Step 5: Solve for x
    x = 62,012,921,946,051,784/161,263,237.50
  6. Step 6: Final answer
    x = 384,544,691.69

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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.