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Finding the Third Proportional to 230,160,046 and 492,967,628

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Solution

The third proportional to 230,160,046 and 492,967,628 is: 1,055,861,286.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,160,046 : 492,967,628 = 492,967,628 : x
  2. Step 2: Convert to fraction form
    230,160,046/492,967,628 = 492,967,628/x
  3. Step 3: Cross multiply
    230,160,046x = 492,967,628 × 492,967,628
  4. Step 4: Simplify right side
    230,160,046x = 243,017,082,255,946,368
  5. Step 5: Solve for x
    x = 243,017,082,255,946,368/230,160,046
  6. Step 6: Final answer
    x = 1,055,861,286.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.