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Finding the Third Proportional to 49,500,396 and 106,583,688

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Solution

The third proportional to 49,500,396 and 106,583,688 is: 229,494,781.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500,396 : 106,583,688 = 106,583,688 : x
  2. Step 2: Convert to fraction form
    49,500,396/106,583,688 = 106,583,688/x
  3. Step 3: Cross multiply
    49,500,396x = 106,583,688 × 106,583,688
  4. Step 4: Simplify right side
    49,500,396x = 11,360,082,547,681,344
  5. Step 5: Solve for x
    x = 11,360,082,547,681,344/49,500,396
  6. Step 6: Final answer
    x = 229,494,781.17

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.