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Finding the Third Proportional to 104,999,775 and 164,338,642.50

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Solution

The third proportional to 104,999,775 and 164,338,642.50 is: 257,211,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,999,775 : 164,338,642.50 = 164,338,642.50 : x
  2. Step 2: Convert to fraction form
    104,999,775/164,338,642.50 = 164,338,642.50/x
  3. Step 3: Cross multiply
    104,999,775x = 164,338,642.50 × 164,338,642.50
  4. Step 4: Simplify right side
    104,999,775x = 27,007,189,418,742,808
  5. Step 5: Solve for x
    x = 27,007,189,418,742,808/104,999,775
  6. Step 6: Final answer
    x = 257,211,878.97

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.