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Finding the Third Proportional to 82,413,389,152.50 and 178,518,157,848

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Solution

The third proportional to 82,413,389,152.50 and 178,518,157,848 is: 386,693,630,842.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,413,389,152.50 : 178,518,157,848 = 178,518,157,848 : x
  2. Step 2: Convert to fraction form
    82,413,389,152.50/178,518,157,848 = 178,518,157,848/x
  3. Step 3: Cross multiply
    82,413,389,152.50x = 178,518,157,848 × 178,518,157,848
  4. Step 4: Simplify right side
    82,413,389,152.50x = 31,868,732,681,443,445,047,296
  5. Step 5: Solve for x
    x = 31,868,732,681,443,445,047,296/82,413,389,152.50
  6. Step 6: Final answer
    x = 386,693,630,842.83

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