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Finding the Third Proportional to 52,927,071.38 and 114,648,983.63

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Solution

The third proportional to 52,927,071.38 and 114,648,983.63 is: 248,349,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,927,071.38 : 114,648,983.63 = 114,648,983.63 : x
  2. Step 2: Convert to fraction form
    52,927,071.38/114,648,983.63 = 114,648,983.63/x
  3. Step 3: Cross multiply
    52,927,071.38x = 114,648,983.63 × 114,648,983.63
  4. Step 4: Simplify right side
    52,927,071.38x = 13,144,389,446,245,518
  5. Step 5: Solve for x
    x = 13,144,389,446,245,518/52,927,071.38
  6. Step 6: Final answer
    x = 248,349,079.30

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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.