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Finding the Third Proportional to 178,623,403.50 and 383,091,832.50

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Solution

The third proportional to 178,623,403.50 and 383,091,832.50 is: 821,613,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,623,403.50 : 383,091,832.50 = 383,091,832.50 : x
  2. Step 2: Convert to fraction form
    178,623,403.50/383,091,832.50 = 383,091,832.50/x
  3. Step 3: Cross multiply
    178,623,403.50x = 383,091,832.50 × 383,091,832.50
  4. Step 4: Simplify right side
    178,623,403.50x = 146,759,352,128,208,064
  5. Step 5: Solve for x
    x = 146,759,352,128,208,064/178,623,403.50
  6. Step 6: Final answer
    x = 821,613,233.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.