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Finding the Third Proportional to 196,774,641 and 430,617,473

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Solution

The third proportional to 196,774,641 and 430,617,473 is: 942,354,193.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,774,641 : 430,617,473 = 430,617,473 : x
  2. Step 2: Convert to fraction form
    196,774,641/430,617,473 = 430,617,473/x
  3. Step 3: Cross multiply
    196,774,641x = 430,617,473 × 430,617,473
  4. Step 4: Simplify right side
    196,774,641x = 185,431,408,052,905,728
  5. Step 5: Solve for x
    x = 185,431,408,052,905,728/196,774,641
  6. Step 6: Final answer
    x = 942,354,193.15

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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.