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Finding the Third Proportional to 200,360,960 and 306,500,058

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Solution

The third proportional to 200,360,960 and 306,500,058 is: 468,865,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,360,960 : 306,500,058 = 306,500,058 : x
  2. Step 2: Convert to fraction form
    200,360,960/306,500,058 = 306,500,058/x
  3. Step 3: Cross multiply
    200,360,960x = 306,500,058 × 306,500,058
  4. Step 4: Simplify right side
    200,360,960x = 93,942,285,554,003,360
  5. Step 5: Solve for x
    x = 93,942,285,554,003,360/200,360,960
  6. Step 6: Final answer
    x = 468,865,219.82

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.