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Finding the Third Proportional to 197,254,842 and 314,148,013.50

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Solution

The third proportional to 197,254,842 and 314,148,013.50 is: 500,312,050.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,254,842 : 314,148,013.50 = 314,148,013.50 : x
  2. Step 2: Convert to fraction form
    197,254,842/314,148,013.50 = 314,148,013.50/x
  3. Step 3: Cross multiply
    197,254,842x = 314,148,013.50 × 314,148,013.50
  4. Step 4: Simplify right side
    197,254,842x = 98,688,974,385,996,176
  5. Step 5: Solve for x
    x = 98,688,974,385,996,176/197,254,842
  6. Step 6: Final answer
    x = 500,312,050.06

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Why These Related Problems?

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