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Finding the Third Proportional to 191,051,832 and 409,364,628

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Solution

The third proportional to 191,051,832 and 409,364,628 is: 877,141,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,051,832 : 409,364,628 = 409,364,628 : x
  2. Step 2: Convert to fraction form
    191,051,832/409,364,628 = 409,364,628/x
  3. Step 3: Cross multiply
    191,051,832x = 409,364,628 × 409,364,628
  4. Step 4: Simplify right side
    191,051,832x = 167,579,398,657,578,368
  5. Step 5: Solve for x
    x = 167,579,398,657,578,368/191,051,832
  6. Step 6: Final answer
    x = 877,141,019.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.