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Finding the Third Proportional to 97,624,527 and 214,004,766

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Solution

The third proportional to 97,624,527 and 214,004,766 is: 469,124,320.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,624,527 : 214,004,766 = 214,004,766 : x
  2. Step 2: Convert to fraction form
    97,624,527/214,004,766 = 214,004,766/x
  3. Step 3: Cross multiply
    97,624,527x = 214,004,766 × 214,004,766
  4. Step 4: Simplify right side
    97,624,527x = 45,798,039,870,714,752
  5. Step 5: Solve for x
    x = 45,798,039,870,714,752/97,624,527
  6. Step 6: Final answer
    x = 469,124,320.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.