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Finding the Third Proportional to 98,435,898 and 215,429,148

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Solution

The third proportional to 98,435,898 and 215,429,148 is: 471,471,472.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,435,898 : 215,429,148 = 215,429,148 : x
  2. Step 2: Convert to fraction form
    98,435,898/215,429,148 = 215,429,148/x
  3. Step 3: Cross multiply
    98,435,898x = 215,429,148 × 215,429,148
  4. Step 4: Simplify right side
    98,435,898x = 46,409,717,808,005,904
  5. Step 5: Solve for x
    x = 46,409,717,808,005,904/98,435,898
  6. Step 6: Final answer
    x = 471,471,472.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.