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Finding the Third Proportional to 182,536,110,679.50 and 390,192,908,175

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Solution

The third proportional to 182,536,110,679.50 and 390,192,908,175 is: 834,084,308,158.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,536,110,679.50 : 390,192,908,175 = 390,192,908,175 : x
  2. Step 2: Convert to fraction form
    182,536,110,679.50/390,192,908,175 = 390,192,908,175/x
  3. Step 3: Cross multiply
    182,536,110,679.50x = 390,192,908,175 × 390,192,908,175
  4. Step 4: Simplify right side
    182,536,110,679.50x = 152,250,505,590,063,977,463,808
  5. Step 5: Solve for x
    x = 152,250,505,590,063,977,463,808/182,536,110,679.50
  6. Step 6: Final answer
    x = 834,084,308,158.55

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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.