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Finding the Third Proportional to 95,830,536 and 208,451,602.50

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Solution

The third proportional to 95,830,536 and 208,451,602.50 is: 453,426,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,830,536 : 208,451,602.50 = 208,451,602.50 : x
  2. Step 2: Convert to fraction form
    95,830,536/208,451,602.50 = 208,451,602.50/x
  3. Step 3: Cross multiply
    95,830,536x = 208,451,602.50 × 208,451,602.50
  4. Step 4: Simplify right side
    95,830,536x = 43,452,070,584,818,008
  5. Step 5: Solve for x
    x = 43,452,070,584,818,008/95,830,536
  6. Step 6: Final answer
    x = 453,426,145.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.