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Finding the Third Proportional to 48,251,322 and 105,013,476

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Solution

The third proportional to 48,251,322 and 105,013,476 is: 228,549,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,251,322 : 105,013,476 = 105,013,476 : x
  2. Step 2: Convert to fraction form
    48,251,322/105,013,476 = 105,013,476/x
  3. Step 3: Cross multiply
    48,251,322x = 105,013,476 × 105,013,476
  4. Step 4: Simplify right side
    48,251,322x = 11,027,830,141,602,576
  5. Step 5: Solve for x
    x = 11,027,830,141,602,576/48,251,322
  6. Step 6: Final answer
    x = 228,549,803.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.