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Finding the Third Proportional to 164,746,738.50 and 249,245,871

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Solution

The third proportional to 164,746,738.50 and 249,245,871 is: 377,084,880.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,746,738.50 : 249,245,871 = 249,245,871 : x
  2. Step 2: Convert to fraction form
    164,746,738.50/249,245,871 = 249,245,871/x
  3. Step 3: Cross multiply
    164,746,738.50x = 249,245,871 × 249,245,871
  4. Step 4: Simplify right side
    164,746,738.50x = 62,123,504,210,548,640
  5. Step 5: Solve for x
    x = 62,123,504,210,548,640/164,746,738.50
  6. Step 6: Final answer
    x = 377,084,880.56

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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.