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Finding the Third Proportional to 164,746,731.75 and 249,245,862

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Solution

The third proportional to 164,746,731.75 and 249,245,862 is: 377,084,868.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,746,731.75 : 249,245,862 = 249,245,862 : x
  2. Step 2: Convert to fraction form
    164,746,731.75/249,245,862 = 249,245,862/x
  3. Step 3: Cross multiply
    164,746,731.75x = 249,245,862 × 249,245,862
  4. Step 4: Simplify right side
    164,746,731.75x = 62,123,499,724,123,040
  5. Step 5: Solve for x
    x = 62,123,499,724,123,040/164,746,731.75
  6. Step 6: Final answer
    x = 377,084,868.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.