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Finding the Third Proportional to 81,931,698.47 and 175,549,909.08

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Solution

The third proportional to 81,931,698.47 and 175,549,909.08 is: 376,139,774.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,931,698.47 : 175,549,909.08 = 175,549,909.08 : x
  2. Step 2: Convert to fraction form
    81,931,698.47/175,549,909.08 = 175,549,909.08/x
  3. Step 3: Cross multiply
    81,931,698.47x = 175,549,909.08 × 175,549,909.08
  4. Step 4: Simplify right side
    81,931,698.47x = 30,817,770,577,336,196
  5. Step 5: Solve for x
    x = 30,817,770,577,336,196/81,931,698.47
  6. Step 6: Final answer
    x = 376,139,774.40

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