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Finding the Third Proportional to 98,873,270 and 208,956,602

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Solution

The third proportional to 98,873,270 and 208,956,602 is: 441,604,303.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,873,270 : 208,956,602 = 208,956,602 : x
  2. Step 2: Convert to fraction form
    98,873,270/208,956,602 = 208,956,602/x
  3. Step 3: Cross multiply
    98,873,270x = 208,956,602 × 208,956,602
  4. Step 4: Simplify right side
    98,873,270x = 43,662,861,519,386,400
  5. Step 5: Solve for x
    x = 43,662,861,519,386,400/98,873,270
  6. Step 6: Final answer
    x = 441,604,303.36

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.