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Finding the Third Proportional to 202,843,138 and 303,070,640

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Solution

The third proportional to 202,843,138 and 303,070,640 is: 452,821,888.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,843,138 : 303,070,640 = 303,070,640 : x
  2. Step 2: Convert to fraction form
    202,843,138/303,070,640 = 303,070,640/x
  3. Step 3: Cross multiply
    202,843,138x = 303,070,640 × 303,070,640
  4. Step 4: Simplify right side
    202,843,138x = 91,851,812,830,009,600
  5. Step 5: Solve for x
    x = 91,851,812,830,009,600/202,843,138
  6. Step 6: Final answer
    x = 452,821,888.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.