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Finding the Third Proportional to 48,048,490 and 103,655,216

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Solution

The third proportional to 48,048,490 and 103,655,216 is: 223,615,847.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,048,490 : 103,655,216 = 103,655,216 : x
  2. Step 2: Convert to fraction form
    48,048,490/103,655,216 = 103,655,216/x
  3. Step 3: Cross multiply
    48,048,490x = 103,655,216 × 103,655,216
  4. Step 4: Simplify right side
    48,048,490x = 10,744,403,804,006,656
  5. Step 5: Solve for x
    x = 10,744,403,804,006,656/48,048,490
  6. Step 6: Final answer
    x = 223,615,847.32

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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.