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Finding the Third Proportional to 92,362,777 and 199,369,705

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Solution

The third proportional to 92,362,777 and 199,369,705 is: 430,349,547.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,362,777 : 199,369,705 = 199,369,705 : x
  2. Step 2: Convert to fraction form
    92,362,777/199,369,705 = 199,369,705/x
  3. Step 3: Cross multiply
    92,362,777x = 199,369,705 × 199,369,705
  4. Step 4: Simplify right side
    92,362,777x = 39,748,279,271,787,024
  5. Step 5: Solve for x
    x = 39,748,279,271,787,024/92,362,777
  6. Step 6: Final answer
    x = 430,349,547.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.