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Finding the Third Proportional to 119,997,513,421.88 and 173,375,684,751.38

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Solution

The third proportional to 119,997,513,421.88 and 173,375,684,751.38 is: 250,497,924,547.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,997,513,421.88 : 173,375,684,751.38 = 173,375,684,751.38 : x
  2. Step 2: Convert to fraction form
    119,997,513,421.88/173,375,684,751.38 = 173,375,684,751.38/x
  3. Step 3: Cross multiply
    119,997,513,421.88x = 173,375,684,751.38 × 173,375,684,751.38
  4. Step 4: Simplify right side
    119,997,513,421.88x = 30,059,128,063,009,899,937,792
  5. Step 5: Solve for x
    x = 30,059,128,063,009,899,937,792/119,997,513,421.88
  6. Step 6: Final answer
    x = 250,497,924,547.24

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.