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Finding the Third Proportional to 230,160,050 and 492,967,636

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Solution

The third proportional to 230,160,050 and 492,967,636 is: 1,055,861,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160,050 : 492,967,636 = 492,967,636 : x
  2. Step 2: Convert to fraction form
    230,160,050/492,967,636 = 492,967,636/x
  3. Step 3: Cross multiply
    230,160,050x = 492,967,636 × 492,967,636
  4. Step 4: Simplify right side
    230,160,050x = 243,017,090,143,428,480
  5. Step 5: Solve for x
    x = 243,017,090,143,428,480/230,160,050
  6. Step 6: Final answer
    x = 1,055,861,302.36

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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.