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Finding the Third Proportional to 195,483,665.25 and 286,834,820.63

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Solution

The third proportional to 195,483,665.25 and 286,834,820.63 is: 420,875,136.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,483,665.25 : 286,834,820.63 = 286,834,820.63 : x
  2. Step 2: Convert to fraction form
    195,483,665.25/286,834,820.63 = 286,834,820.63/x
  3. Step 3: Cross multiply
    195,483,665.25x = 286,834,820.63 × 286,834,820.63
  4. Step 4: Simplify right side
    195,483,665.25x = 82,274,214,322,975,920
  5. Step 5: Solve for x
    x = 82,274,214,322,975,920/195,483,665.25
  6. Step 6: Final answer
    x = 420,875,136.64

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.