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Finding the Third Proportional to 102,256,420 and 143,830,482

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Solution

The third proportional to 102,256,420 and 143,830,482 is: 202,307,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,256,420 : 143,830,482 = 143,830,482 : x
  2. Step 2: Convert to fraction form
    102,256,420/143,830,482 = 143,830,482/x
  3. Step 3: Cross multiply
    102,256,420x = 143,830,482 × 143,830,482
  4. Step 4: Simplify right side
    102,256,420x = 20,687,207,552,352,324
  5. Step 5: Solve for x
    x = 20,687,207,552,352,324/102,256,420
  6. Step 6: Final answer
    x = 202,307,175.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.