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Finding the Third Proportional to 177,879,461 and 265,771,807

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Solution

The third proportional to 177,879,461 and 265,771,807 is: 397,092,800.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,879,461 : 265,771,807 = 265,771,807 : x
  2. Step 2: Convert to fraction form
    177,879,461/265,771,807 = 265,771,807/x
  3. Step 3: Cross multiply
    177,879,461x = 265,771,807 × 265,771,807
  4. Step 4: Simplify right side
    177,879,461x = 70,634,653,396,045,248
  5. Step 5: Solve for x
    x = 70,634,653,396,045,248/177,879,461
  6. Step 6: Final answer
    x = 397,092,800.93

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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.