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Finding the Third Proportional to 181,598,140,143 and 390,146,028,858.50

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Solution

The third proportional to 181,598,140,143 and 390,146,028,858.50 is: 838,190,984,303.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,598,140,143 : 390,146,028,858.50 = 390,146,028,858.50 : x
  2. Step 2: Convert to fraction form
    181,598,140,143/390,146,028,858.50 = 390,146,028,858.50/x
  3. Step 3: Cross multiply
    181,598,140,143x = 390,146,028,858.50 × 390,146,028,858.50
  4. Step 4: Simplify right side
    181,598,140,143x = 152,213,923,834,057,501,704,192
  5. Step 5: Solve for x
    x = 152,213,923,834,057,501,704,192/181,598,140,143
  6. Step 6: Final answer
    x = 838,190,984,303.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.