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Finding the Third Proportional to 64,718,835 and 139,042,971.75

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Solution

The third proportional to 64,718,835 and 139,042,971.75 is: 298,722,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,718,835 : 139,042,971.75 = 139,042,971.75 : x
  2. Step 2: Convert to fraction form
    64,718,835/139,042,971.75 = 139,042,971.75/x
  3. Step 3: Cross multiply
    64,718,835x = 139,042,971.75 × 139,042,971.75
  4. Step 4: Simplify right side
    64,718,835x = 19,332,947,993,071,300
  5. Step 5: Solve for x
    x = 19,332,947,993,071,300/64,718,835
  6. Step 6: Final answer
    x = 298,722,126.15

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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.