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Finding the Third Proportional to 99,849,779,364 and 213,837,424,603

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Solution

The third proportional to 99,849,779,364 and 213,837,424,603 is: 457,952,380,587.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,849,779,364 : 213,837,424,603 = 213,837,424,603 : x
  2. Step 2: Convert to fraction form
    99,849,779,364/213,837,424,603 = 213,837,424,603/x
  3. Step 3: Cross multiply
    99,849,779,364x = 213,837,424,603 × 213,837,424,603
  4. Step 4: Simplify right side
    99,849,779,364x = 45,726,444,160,843,706,793,984
  5. Step 5: Solve for x
    x = 45,726,444,160,843,706,793,984/99,849,779,364
  6. Step 6: Final answer
    x = 457,952,380,587.13

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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.