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Finding the Third Proportional to 76,849,058 and 118,864,632

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Solution

The third proportional to 76,849,058 and 118,864,632 is: 183,851,319.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,849,058 : 118,864,632 = 118,864,632 : x
  2. Step 2: Convert to fraction form
    76,849,058/118,864,632 = 118,864,632/x
  3. Step 3: Cross multiply
    76,849,058x = 118,864,632 × 118,864,632
  4. Step 4: Simplify right side
    76,849,058x = 14,128,800,740,495,424
  5. Step 5: Solve for x
    x = 14,128,800,740,495,424/76,849,058
  6. Step 6: Final answer
    x = 183,851,319.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.