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Finding the Third Proportional to 147,445,425 and 319,425,705

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Solution

The third proportional to 147,445,425 and 319,425,705 is: 692,003,709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,445,425 : 319,425,705 = 319,425,705 : x
  2. Step 2: Convert to fraction form
    147,445,425/319,425,705 = 319,425,705/x
  3. Step 3: Cross multiply
    147,445,425x = 319,425,705 × 319,425,705
  4. Step 4: Simplify right side
    147,445,425x = 102,032,781,014,747,024
  5. Step 5: Solve for x
    x = 102,032,781,014,747,024/147,445,425
  6. Step 6: Final answer
    x = 692,003,709.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.