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Finding the Third Proportional to 78,592,892,422.50 and 170,956,072,242

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Solution

The third proportional to 78,592,892,422.50 and 170,956,072,242 is: 371,865,416,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,592,892,422.50 : 170,956,072,242 = 170,956,072,242 : x
  2. Step 2: Convert to fraction form
    78,592,892,422.50/170,956,072,242 = 170,956,072,242/x
  3. Step 3: Cross multiply
    78,592,892,422.50x = 170,956,072,242 × 170,956,072,242
  4. Step 4: Simplify right side
    78,592,892,422.50x = 29,225,978,636,411,923,857,408
  5. Step 5: Solve for x
    x = 29,225,978,636,411,923,857,408/78,592,892,422.50
  6. Step 6: Final answer
    x = 371,865,416,013.69

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.