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Finding the Third Proportional to 205,385,063 and 456,691,293.50

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Solution

The third proportional to 205,385,063 and 456,691,293.50 is: 1,015,492,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,385,063 : 456,691,293.50 = 456,691,293.50 : x
  2. Step 2: Convert to fraction form
    205,385,063/456,691,293.50 = 456,691,293.50/x
  3. Step 3: Cross multiply
    205,385,063x = 456,691,293.50 × 456,691,293.50
  4. Step 4: Simplify right side
    205,385,063x = 208,566,937,558,703,136
  5. Step 5: Solve for x
    x = 208,566,937,558,703,136/205,385,063
  6. Step 6: Final answer
    x = 1,015,492,239.37

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.