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Finding the Third Proportional to 48,920,490 and 105,501,192

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Solution

The third proportional to 48,920,490 and 105,501,192 is: 227,522,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,920,490 : 105,501,192 = 105,501,192 : x
  2. Step 2: Convert to fraction form
    48,920,490/105,501,192 = 105,501,192/x
  3. Step 3: Cross multiply
    48,920,490x = 105,501,192 × 105,501,192
  4. Step 4: Simplify right side
    48,920,490x = 11,130,501,513,420,864
  5. Step 5: Solve for x
    x = 11,130,501,513,420,864/48,920,490
  6. Step 6: Final answer
    x = 227,522,281.84

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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.