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Finding the Third Proportional to 140,187,948 and 306,803,442

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Solution

The third proportional to 140,187,948 and 306,803,442 is: 671,443,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,187,948 : 306,803,442 = 306,803,442 : x
  2. Step 2: Convert to fraction form
    140,187,948/306,803,442 = 306,803,442/x
  3. Step 3: Cross multiply
    140,187,948x = 306,803,442 × 306,803,442
  4. Step 4: Simplify right side
    140,187,948x = 94,128,352,023,047,360
  5. Step 5: Solve for x
    x = 94,128,352,023,047,360/140,187,948
  6. Step 6: Final answer
    x = 671,443,967.66

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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.