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Finding the Third Proportional to 99,849,779,370 and 213,837,424,614

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Solution

The third proportional to 99,849,779,370 and 213,837,424,614 is: 457,952,380,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,849,779,370 : 213,837,424,614 = 213,837,424,614 : x
  2. Step 2: Convert to fraction form
    99,849,779,370/213,837,424,614 = 213,837,424,614/x
  3. Step 3: Cross multiply
    99,849,779,370x = 213,837,424,614 × 213,837,424,614
  4. Step 4: Simplify right side
    99,849,779,370x = 45,726,444,165,548,130,435,072
  5. Step 5: Solve for x
    x = 45,726,444,165,548,130,435,072/99,849,779,370
  6. Step 6: Final answer
    x = 457,952,380,606.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.