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Finding the Third Proportional to 214,975,020 and 438,973,224

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Solution

The third proportional to 214,975,020 and 438,973,224 is: 896,371,547.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,975,020 : 438,973,224 = 438,973,224 : x
  2. Step 2: Convert to fraction form
    214,975,020/438,973,224 = 438,973,224/x
  3. Step 3: Cross multiply
    214,975,020x = 438,973,224 × 438,973,224
  4. Step 4: Simplify right side
    214,975,020x = 192,697,491,388,954,176
  5. Step 5: Solve for x
    x = 192,697,491,388,954,176/214,975,020
  6. Step 6: Final answer
    x = 896,371,547.68

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.