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Finding the Third Proportional to 108,123,420 and 223,911,828

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Solution

The third proportional to 108,123,420 and 223,911,828 is: 463,697,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,123,420 : 223,911,828 = 223,911,828 : x
  2. Step 2: Convert to fraction form
    108,123,420/223,911,828 = 223,911,828/x
  3. Step 3: Cross multiply
    108,123,420x = 223,911,828 × 223,911,828
  4. Step 4: Simplify right side
    108,123,420x = 50,136,506,718,301,584
  5. Step 5: Solve for x
    x = 50,136,506,718,301,584/108,123,420
  6. Step 6: Final answer
    x = 463,697,011.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.