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Finding the Third Proportional to 46,054,359 and 99,282,807

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Solution

The third proportional to 46,054,359 and 99,282,807 is: 214,031,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,054,359 : 99,282,807 = 99,282,807 : x
  2. Step 2: Convert to fraction form
    46,054,359/99,282,807 = 99,282,807/x
  3. Step 3: Cross multiply
    46,054,359x = 99,282,807 × 99,282,807
  4. Step 4: Simplify right side
    46,054,359x = 9,857,075,765,799,248
  5. Step 5: Solve for x
    x = 9,857,075,765,799,248/46,054,359
  6. Step 6: Final answer
    x = 214,031,331.23

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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.