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Finding the Third Proportional to 186,438,816 and 291,827,648

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Solution

The third proportional to 186,438,816 and 291,827,648 is: 456,789,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,438,816 : 291,827,648 = 291,827,648 : x
  2. Step 2: Convert to fraction form
    186,438,816/291,827,648 = 291,827,648/x
  3. Step 3: Cross multiply
    186,438,816x = 291,827,648 × 291,827,648
  4. Step 4: Simplify right side
    186,438,816x = 85,163,376,137,211,904
  5. Step 5: Solve for x
    x = 85,163,376,137,211,904/186,438,816
  6. Step 6: Final answer
    x = 456,789,943.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.