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Finding the Third Proportional to 141,315,461 and 213,316,713

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Solution

The third proportional to 141,315,461 and 213,316,713 is: 322,003,124.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,315,461 : 213,316,713 = 213,316,713 : x
  2. Step 2: Convert to fraction form
    141,315,461/213,316,713 = 213,316,713/x
  3. Step 3: Cross multiply
    141,315,461x = 213,316,713 × 213,316,713
  4. Step 4: Simplify right side
    141,315,461x = 45,504,020,045,124,368
  5. Step 5: Solve for x
    x = 45,504,020,045,124,368/141,315,461
  6. Step 6: Final answer
    x = 322,003,124.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.