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Finding the Third Proportional to 44,730,186 and 97,835,118

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Solution

The third proportional to 44,730,186 and 97,835,118 is: 213,987,715.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730,186 : 97,835,118 = 97,835,118 : x
  2. Step 2: Convert to fraction form
    44,730,186/97,835,118 = 97,835,118/x
  3. Step 3: Cross multiply
    44,730,186x = 97,835,118 × 97,835,118
  4. Step 4: Simplify right side
    44,730,186x = 9,571,710,314,073,924
  5. Step 5: Solve for x
    x = 9,571,710,314,073,924/44,730,186
  6. Step 6: Final answer
    x = 213,987,715.46

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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.