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Finding the Third Proportional to 298,044,365.06 and 444,159,032.34

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Solution

The third proportional to 298,044,365.06 and 444,159,032.34 is: 661,905,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,044,365.06 : 444,159,032.34 = 444,159,032.34 : x
  2. Step 2: Convert to fraction form
    298,044,365.06/444,159,032.34 = 444,159,032.34/x
  3. Step 3: Cross multiply
    298,044,365.06x = 444,159,032.34 × 444,159,032.34
  4. Step 4: Simplify right side
    298,044,365.06x = 197,277,246,012,536,352
  5. Step 5: Solve for x
    x = 197,277,246,012,536,352/298,044,365.06
  6. Step 6: Final answer
    x = 661,905,639.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.