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Finding the Third Proportional to 147,445,427 and 319,425,709

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Solution

The third proportional to 147,445,427 and 319,425,709 is: 692,003,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,445,427 : 319,425,709 = 319,425,709 : x
  2. Step 2: Convert to fraction form
    147,445,427/319,425,709 = 319,425,709/x
  3. Step 3: Cross multiply
    147,445,427x = 319,425,709 × 319,425,709
  4. Step 4: Simplify right side
    147,445,427x = 102,032,783,570,152,688
  5. Step 5: Solve for x
    x = 102,032,783,570,152,688/147,445,427
  6. Step 6: Final answer
    x = 692,003,717.21

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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.