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Finding the Third Proportional to 176,196,406 and 386,275,283

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Solution

The third proportional to 176,196,406 and 386,275,283 is: 846,831,088.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,196,406 : 386,275,283 = 386,275,283 : x
  2. Step 2: Convert to fraction form
    176,196,406/386,275,283 = 386,275,283/x
  3. Step 3: Cross multiply
    176,196,406x = 386,275,283 × 386,275,283
  4. Step 4: Simplify right side
    176,196,406x = 149,208,594,256,730,080
  5. Step 5: Solve for x
    x = 149,208,594,256,730,080/176,196,406
  6. Step 6: Final answer
    x = 846,831,088.35

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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.