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Finding the Third Proportional to 146,141,316 and 318,009,288

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Solution

The third proportional to 146,141,316 and 318,009,288 is: 692,000,797.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,141,316 : 318,009,288 = 318,009,288 : x
  2. Step 2: Convert to fraction form
    146,141,316/318,009,288 = 318,009,288/x
  3. Step 3: Cross multiply
    146,141,316x = 318,009,288 × 318,009,288
  4. Step 4: Simplify right side
    146,141,316x = 101,129,907,254,266,944
  5. Step 5: Solve for x
    x = 101,129,907,254,266,944/146,141,316
  6. Step 6: Final answer
    x = 692,000,797.74

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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.