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Finding the Third Proportional to 119,835,216 and 258,182,316

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Solution

The third proportional to 119,835,216 and 258,182,316 is: 556,248,075.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,835,216 : 258,182,316 = 258,182,316 : x
  2. Step 2: Convert to fraction form
    119,835,216/258,182,316 = 258,182,316/x
  3. Step 3: Cross multiply
    119,835,216x = 258,182,316 × 258,182,316
  4. Step 4: Simplify right side
    119,835,216x = 66,658,108,295,123,856
  5. Step 5: Solve for x
    x = 66,658,108,295,123,856/119,835,216
  6. Step 6: Final answer
    x = 556,248,075.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.