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Finding the Third Proportional to 97,472,902 and 214,075,340

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Solution

The third proportional to 97,472,902 and 214,075,340 is: 470,164,017.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,472,902 : 214,075,340 = 214,075,340 : x
  2. Step 2: Convert to fraction form
    97,472,902/214,075,340 = 214,075,340/x
  3. Step 3: Cross multiply
    97,472,902x = 214,075,340 × 214,075,340
  4. Step 4: Simplify right side
    97,472,902x = 45,828,251,196,115,600
  5. Step 5: Solve for x
    x = 45,828,251,196,115,600/97,472,902
  6. Step 6: Final answer
    x = 470,164,017.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.