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Finding the Third Proportional to 191,587,981 and 419,446,784

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Solution

The third proportional to 191,587,981 and 419,446,784 is: 918,301,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,587,981 : 419,446,784 = 419,446,784 : x
  2. Step 2: Convert to fraction form
    191,587,981/419,446,784 = 419,446,784/x
  3. Step 3: Cross multiply
    191,587,981x = 419,446,784 × 419,446,784
  4. Step 4: Simplify right side
    191,587,981x = 175,935,604,607,942,656
  5. Step 5: Solve for x
    x = 175,935,604,607,942,656/191,587,981
  6. Step 6: Final answer
    x = 918,301,887.67

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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.