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Finding the Third Proportional to 71,549,243 and 154,429,333

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Solution

The third proportional to 71,549,243 and 154,429,333 is: 333,314,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,549,243 : 154,429,333 = 154,429,333 : x
  2. Step 2: Convert to fraction form
    71,549,243/154,429,333 = 154,429,333/x
  3. Step 3: Cross multiply
    71,549,243x = 154,429,333 × 154,429,333
  4. Step 4: Simplify right side
    71,549,243x = 23,848,418,890,824,888
  5. Step 5: Solve for x
    x = 23,848,418,890,824,888/71,549,243
  6. Step 6: Final answer
    x = 333,314,761.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.