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Finding the Third Proportional to 172,202,656 and 265,044,036

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Solution

The third proportional to 172,202,656 and 265,044,036 is: 407,939,939.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,202,656 : 265,044,036 = 265,044,036 : x
  2. Step 2: Convert to fraction form
    172,202,656/265,044,036 = 265,044,036/x
  3. Step 3: Cross multiply
    172,202,656x = 265,044,036 × 265,044,036
  4. Step 4: Simplify right side
    172,202,656x = 70,248,341,019,169,296
  5. Step 5: Solve for x
    x = 70,248,341,019,169,296/172,202,656
  6. Step 6: Final answer
    x = 407,939,939.20

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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.