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Finding the Third Proportional to 197,254,851.75 and 314,148,030.75

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Solution

The third proportional to 197,254,851.75 and 314,148,030.75 is: 500,312,080.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,254,851.75 : 314,148,030.75 = 314,148,030.75 : x
  2. Step 2: Convert to fraction form
    197,254,851.75/314,148,030.75 = 314,148,030.75/x
  3. Step 3: Cross multiply
    197,254,851.75x = 314,148,030.75 × 314,148,030.75
  4. Step 4: Simplify right side
    197,254,851.75x = 98,688,985,224,102,944
  5. Step 5: Solve for x
    x = 98,688,985,224,102,944/197,254,851.75
  6. Step 6: Final answer
    x = 500,312,080.28

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.