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Finding the Third Proportional to 97,675,127,878 and 211,577,075,960

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Solution

The third proportional to 97,675,127,878 and 211,577,075,960 is: 458,303,562,475.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,675,127,878 : 211,577,075,960 = 211,577,075,960 : x
  2. Step 2: Convert to fraction form
    97,675,127,878/211,577,075,960 = 211,577,075,960/x
  3. Step 3: Cross multiply
    97,675,127,878x = 211,577,075,960 × 211,577,075,960
  4. Step 4: Simplify right side
    97,675,127,878x = 44,764,859,071,783,608,778,752
  5. Step 5: Solve for x
    x = 44,764,859,071,783,608,778,752/97,675,127,878
  6. Step 6: Final answer
    x = 458,303,562,475.97

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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.