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Finding the Third Proportional to 53,176,892,058 and 114,844,319,946.75

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Solution

The third proportional to 53,176,892,058 and 114,844,319,946.75 is: 248,025,360,520.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,176,892,058 : 114,844,319,946.75 = 114,844,319,946.75 : x
  2. Step 2: Convert to fraction form
    53,176,892,058/114,844,319,946.75 = 114,844,319,946.75/x
  3. Step 3: Cross multiply
    53,176,892,058x = 114,844,319,946.75 × 114,844,319,946.75
  4. Step 4: Simplify right side
    53,176,892,058x = 13,189,217,824,031,480,217,600
  5. Step 5: Solve for x
    x = 13,189,217,824,031,480,217,600/53,176,892,058
  6. Step 6: Final answer
    x = 248,025,360,520.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.