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Finding the Third Proportional to 61,430,148 and 134,430,984

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Solution

The third proportional to 61,430,148 and 134,430,984 is: 294,182,743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,430,148 : 134,430,984 = 134,430,984 : x
  2. Step 2: Convert to fraction form
    61,430,148/134,430,984 = 134,430,984/x
  3. Step 3: Cross multiply
    61,430,148x = 134,430,984 × 134,430,984
  4. Step 4: Simplify right side
    61,430,148x = 18,071,689,459,208,256
  5. Step 5: Solve for x
    x = 18,071,689,459,208,256/61,430,148
  6. Step 6: Final answer
    x = 294,182,743.29

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Why These Related Problems?

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