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Finding the Third Proportional to 176,066,730 and 386,145,684

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Solution

The third proportional to 176,066,730 and 386,145,684 is: 846,886,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,066,730 : 386,145,684 = 386,145,684 : x
  2. Step 2: Convert to fraction form
    176,066,730/386,145,684 = 386,145,684/x
  3. Step 3: Cross multiply
    176,066,730x = 386,145,684 × 386,145,684
  4. Step 4: Simplify right side
    176,066,730x = 149,108,489,271,827,840
  5. Step 5: Solve for x
    x = 149,108,489,271,827,840/176,066,730
  6. Step 6: Final answer
    x = 846,886,230.42

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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.