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Finding the Third Proportional to 191,550,166,076 and 269,402,492,878

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Solution

The third proportional to 191,550,166,076 and 269,402,492,878 is: 378,896,581,797.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,550,166,076 : 269,402,492,878 = 269,402,492,878 : x
  2. Step 2: Convert to fraction form
    191,550,166,076/269,402,492,878 = 269,402,492,878/x
  3. Step 3: Cross multiply
    191,550,166,076x = 269,402,492,878 × 269,402,492,878
  4. Step 4: Simplify right side
    191,550,166,076x = 72,577,703,168,880,840,540,160
  5. Step 5: Solve for x
    x = 72,577,703,168,880,840,540,160/191,550,166,076
  6. Step 6: Final answer
    x = 378,896,581,797.19

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.