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Finding the Third Proportional to 108,607,020,700.50 and 233,812,575,009

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Solution

The third proportional to 108,607,020,700.50 and 233,812,575,009 is: 503,358,989,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,607,020,700.50 : 233,812,575,009 = 233,812,575,009 : x
  2. Step 2: Convert to fraction form
    108,607,020,700.50/233,812,575,009 = 233,812,575,009/x
  3. Step 3: Cross multiply
    108,607,020,700.50x = 233,812,575,009 × 233,812,575,009
  4. Step 4: Simplify right side
    108,607,020,700.50x = 54,668,320,232,339,253,755,904
  5. Step 5: Solve for x
    x = 54,668,320,232,339,253,755,904/108,607,020,700.50
  6. Step 6: Final answer
    x = 503,358,989,867.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.