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Finding the Third Proportional to 133,971,646.38 and 290,205,234.32

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Solution

The third proportional to 133,971,646.38 and 290,205,234.32 is: 628,633,597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971,646.38 : 290,205,234.32 = 290,205,234.32 : x
  2. Step 2: Convert to fraction form
    133,971,646.38/290,205,234.32 = 290,205,234.32/x
  3. Step 3: Cross multiply
    133,971,646.38x = 290,205,234.32 × 290,205,234.32
  4. Step 4: Simplify right side
    133,971,646.38x = 84,219,078,024,636,624
  5. Step 5: Solve for x
    x = 84,219,078,024,636,624/133,971,646.38
  6. Step 6: Final answer
    x = 628,633,597.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.