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Finding the Third Proportional to 66,698,200.13 and 144,528,567.75

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Solution

The third proportional to 66,698,200.13 and 144,528,567.75 is: 313,179,468.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,698,200.13 : 144,528,567.75 = 144,528,567.75 : x
  2. Step 2: Convert to fraction form
    66,698,200.13/144,528,567.75 = 144,528,567.75/x
  3. Step 3: Cross multiply
    66,698,200.13x = 144,528,567.75 × 144,528,567.75
  4. Step 4: Simplify right side
    66,698,200.13x = 20,888,506,895,866,340
  5. Step 5: Solve for x
    x = 20,888,506,895,866,340/66,698,200.13
  6. Step 6: Final answer
    x = 313,179,468.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.