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Finding the Third Proportional to 213,070,641.75 and 497,829,336.75

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Solution

The third proportional to 213,070,641.75 and 497,829,336.75 is: 1,163,154,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,070,641.75 : 497,829,336.75 = 497,829,336.75 : x
  2. Step 2: Convert to fraction form
    213,070,641.75/497,829,336.75 = 497,829,336.75/x
  3. Step 3: Cross multiply
    213,070,641.75x = 497,829,336.75 × 497,829,336.75
  4. Step 4: Simplify right side
    213,070,641.75x = 247,834,048,528,944,896
  5. Step 5: Solve for x
    x = 247,834,048,528,944,896/213,070,641.75
  6. Step 6: Final answer
    x = 1,163,154,372.15

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.