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Finding the Third Proportional to 195,477,146 and 287,232,051

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Solution

The third proportional to 195,477,146 and 287,232,051 is: 422,055,738.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,477,146 : 287,232,051 = 287,232,051 : x
  2. Step 2: Convert to fraction form
    195,477,146/287,232,051 = 287,232,051/x
  3. Step 3: Cross multiply
    195,477,146x = 287,232,051 × 287,232,051
  4. Step 4: Simplify right side
    195,477,146x = 82,502,251,121,666,608
  5. Step 5: Solve for x
    x = 82,502,251,121,666,608/195,477,146
  6. Step 6: Final answer
    x = 422,055,738.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.