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Finding the Third Proportional to 145,080,123 and 306,535,206

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Solution

The third proportional to 145,080,123 and 306,535,206 is: 647,668,547.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,080,123 : 306,535,206 = 306,535,206 : x
  2. Step 2: Convert to fraction form
    145,080,123/306,535,206 = 306,535,206/x
  3. Step 3: Cross multiply
    145,080,123x = 306,535,206 × 306,535,206
  4. Step 4: Simplify right side
    145,080,123x = 93,963,832,517,462,432
  5. Step 5: Solve for x
    x = 93,963,832,517,462,432/145,080,123
  6. Step 6: Final answer
    x = 647,668,547.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.